MinT - Information on Result #600038

Information on Result #600038

There is no digital (1, 82, 243)-net over F₈₁, because extracting embedded orthogonal array would yield linear OA(81⁸², 243, F₈₁, 81) (dual of [243, 161, 82]-code), but

dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(81¹⁶¹, 243, F₈₁, 160) (dual of [243, 82, 161]-code), but
- discarding factors / shortening the dual code would yield linear OA(81¹⁶¹, 164, F₈₁, 160) (dual of [164, 3, 161]-code), but
  - bound for almost-MDS-codes with dimension nÂ =Â 3 [i]

Mode: Bound (linear).

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.